图书简介
This book contains survey articles authored by Harald Niederreiter?s close colleagues and leading experts to mark the occasion of his 70th birthday. Intended for graduate students and researchers, the articles focus on uniform distribution and quasi-Monte Carlo methods as well as finite fields and their applications, in particular, cryptography and pseudorandom number generation.
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Harvard Library
Yale University Library
Preface Gerhard Larcher, Friedrich Pillichshammer, Arne Winterhof and Chaoping Xing; 1. Some highlights of Harald Niederreiter?s work Gerhard Larcher, Friedrich Pillichshammer, Arne Winterhof and Chaoping Xing; 2. Partially bent functions and their properties Ay鏰 莈?melio?lu, Wilfried Meidl and Alev Topuzo?lu; 3. Applications of geometric discrepancy in numerical analysis and statistics Josef Dick; 4. Discrepancy bounds for low-dimensional point sets Henri Faure and Peter Kritzer; 5. On the linear complexity and lattice test of nonlinear pseudorandom number generators Domingo G髆ez-P閞ez and Jaime Gutierrez; 6. A heuristic formula estimating the keystream length for the general combination generator with respect to a correlation attack Rainer G鰐tfert; 7. Point sets of minimal energy Peter J. Grabner; 8. The cross-correlation measure for families of binary sequences Katalin Gyarmati, Christian Mauduit and Andr醩 S醨k鰖y; 9. On an important family of inequalities of Niederreiter involving exponential sums Peter Hellekalek; 10. Controlling the shape of generating matrices in global function field constructions of digital sequences Roswitha Hofer and Isabel Pirsic; 11. Periodic structure of the exponential pseudorandom number generator Jonas Kaszi醤, Pieter Moree and Igor E. Shparlinski; 12. Construction of a rank-1 lattice sequence based on primitive polynomials Alexander Keller, Nikolaus Binder and Carsten W鋍hter; 13. A quasi-Monte Carlo method for the coagulation equation Christian L閏ot and Ali Tarhini; 14. Asymptotic formulae for partitions with bounded multiplicity Pierre Liardet and Alain Thomas; 15. A trigonometric approach for Chebyshev polynomials over finite fields Juliano B. Lima, Daniel Panario and Ricardo M. Campello de Souza; 16. Index bounds for value sets of polynomials over finite fields Gary L. Mullen, Daqing Wan and Qiang Wang; 17. Rational points of the curve yqn ? y = ?xqh+1 ? ? over Fqm Ferruh 謟budak and Z黮f黭ar Saygi; 18. On the linear complexity of multisequences, bijections between Zahlen and number tuples, and partitions Michael Vielhaber.
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